$**$Thoroughly show and do all work with explanations, also include drawings of free body diagrams$$ thank you!!$**$

Exercise $2$: Beam under simple supports $($Points A & C$)$

A beam $($below figure$)$ of length $L$ is under simple supports $A$&$C$ and submitted to partial

distribution load $w$ from point $A$ to point $B($distance $a).$

E: Young Modulus and I: Area moment of Inertia

Define the following:

Reaction Ra and Rc

Bending moment and shear force equation on portion $($AB$)$ and portion $($BC$)$

Vertical Deflection equation in each portion $($AB$)$ & $($BC$)$

Slope equation in each portion $(AB)$&$(BC)$

Deflection at point B